Gerald had scores of 83, 95, 92, and 98 on four exams in his algebra class. What score will he need on his fifth exam to have an overall average of 937 (All exams have a
maximum of 100 points.)

Answer:

58 2/3 fps

Step-by-step explanation:

To convert a speed value from miles per hour to feet per second, multiply it by 5280, then divide by 3600.

40 * 5280 = 211200

211200 / 3600 = 58.6666..... [58 2/3]

Answer: Kinetic and potential energy of atoms result from the motion of electrons. ... The further the orbital is from the nucleus, the higher the potential energy of an electron at that energy level. When the electron returns to a low energy state, it releases the potential energy in the form of kinetic energy.

(i searched it and found this. If it helped, pls mark me brainliest! tysm)

Answer:

0.1818

i hope it helped you :)

mark brainliest

9514 1404 393

Answer:

  A congruent

Step-by-step explanation:

In similar polygons, corresponding sides are proportional, and corresponding angles are congruent.

Answer:

the answer is A. point U

or it's point W

Answer:

The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance between two points on the circle.

C = 2πr = 2π( 5 ) = 10π ≈ 31.4 units

3.14 is an approximation for π.

s = θ/360° (C)

mAB = 60°/360° ( 31.4)

= 1/6(31.4) ≈5.2 units

Step-by-step explanation:

Let x - brownies, y - cookies.

According to given w have following inequalities

Their table only has room for 100 baked goods:

Plan to bake at most 30 brownies and at least 50 cookies:

See attached for the graphical solution

The solution is within the marked boundaries.

Answer:

its 4 ezy

Step-by-step explanation:

please mark as brainlists

=========================================================

Explanation:

Part A

Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.

------------------------

Part B

Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).

------------------------

Part C

Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.

Answer:

Step-by-step explanation:

Let's evaluate the expression,

→ (25^-3/2)^1/3

→ 25^-3/2×1/3

→ 25^-3/6

→ 5^-1/2×2

→ 5^-1 {or} 1/5

Hence, the answer is 1/5.

Answer is -9 litterly just take a postive and make it into a negative

Answer:

answer is 746.

have a nice day and do good in math

Answer:

Step-by-step explanation:

As RS is a straight line sin ∠RUT = sin ∠SUT

line UT bisects ∠RTS

Let θ be ∠UTR and ∠UTS

Law of sines

Left side triangle

3x/sinθ = 40/sinRUT

sinRUT = 40sinθ / 3x

Right side triangle

(x + 2) / sinθ = 16 / sinSUT

(x + 2) / sinθ = 16 / (40sinθ / 3x)

(x + 2)(40sinθ / 3x)  = 16sinθ

(x + 2)(40sinθ)  = 48xsinθ

40xsinθ + 80sinθ = 48xsinθ

40x + 80 = 48x

80 = 8x

x = 10

Answer:

Step-by-step explanation:

=

−

±

2

−

4

√

2

x

=

−

b

±

b

2

−

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

−

2

+

1

0

=

0

x

2

−

2

x

+

10

=

0

x2−2x+10=0

=

1

a

=

1

a=1

=

−

2

b

=

−

2

b=−2

=

1

0

c

=

10

c=10

=

−

(

−

2

)

±

(

−

2

)

2

−

4

⋅

1

⋅

1

0

√

2

⋅

1

x

Answer:

Step-by-step explanation:

[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]

Answer:

1234567891011121314151617181920

Answer:

3 / (3t+4) is the answer

Answer:

Step-by-step explanation:

What’s it’s answer I am wonder

Answer:

i think 9900

Step-by-step explanation:

225x20 = 4500

180x30 = 5400

5400+4500 = 9900

Answer:

What are you asking? Yeah I know that but what do you need to know?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

First find g(- 2):

Find f(8):

g(-2):-

[tex]\\ \sf\longmapsto (-2)^2+4[/tex]

[tex]\\ \sf\longmapsto 4+4[/tex]

[tex]\\ \sf\longmapsto 8[/tex]

Now

[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]

[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]

[tex]\\ \sf\longmapsto 3(8)-8[/tex]

[tex]\\ \sf\longmapsto 24-8[/tex]

[tex]\\ \sf\longmapsto 16[/tex]

Answer:

B. (-2,3)

Explanation:

First, we'll turn both lines to slope-intercept form:

x + 3y = 7

Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.

3x + 2y = 0

Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.

Now you can graph (I did it for you above⤴⤴⤴).

Hope this helps you :)

Answer:

Step-by-step explanation:

It is a rectangular prism.

It's length in units = 4

It's breadth in units = 2

It's height in units = 3

Volume of the given rectangular prism

= length × breadth × height

= 4 units × 2 units × 3 units

= 24 cubic units (Ans)

2x ( x - 2x) = 1

2x= 1

x = 0.5

x-2x = 1

-x = 1

x = -1

Ratio of 6 to 5

A ratio of 6 to 5 can be written as 6 to 5, 6:5, or 6/5. Furthermore, 6 and 5 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on.

A ratio of 6 to 5 simply means that for every 6 of something, there are 5 of something else, with a total of 11

Below is a list of equivalent ratios of 6:5 that we created using our 6:5 ratio calculator above.

6:5

12:10

18:15

24:20

30:25

36:30

42:35

48:40

54:45

60:50

66:55

72:60

The general admission tickets sold are 1467 and the number of  reserved seats tickets sold is 358.

Two equations would be derived from the question:

$2.50a + $5b = $3667.50 equation 1

a + b = 1109 equation 2

Where:

a - number of people for the general admission

b = number of people for the reserved seats

To determine the value of b, take the following steps:

Multiply equation 2 by 2.5

2.5a + 2.5b = 2772.50 equation 3

Subtract equation 3 from 2

2.5b = 895

Divide both sides by 2.5

b = 358

In order to determine the value of a, substitute for b in equation 2

358 + a = 1109

a = 1109 - 358 = 1467

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

The equation of the circular orbit and the parabolic path of the comet are

given by the center, diameter, vertex, and directrix.

Part A: The equation of the planet's orbit is; x² + y² = 50²

Part B: The equation of the comet's orbit is; [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: The planet's orbit and the comet's path do not intersect.

Reasons:

Part A: The center of the orbit = The origin (0, 0)

The diameter of the orbit = 100

Therefore;

[tex]Radius \ of \ orbit = \dfrac{100}{2} = 50[/tex]

The radius of the planet's orbit, r = 50

The equation of a circle with center (h, k) is; (x - h)² + (y - k)² = r²

Therefore, the equation of the circle is (x - 0)² + (y - 0)² = r²

Which gives;

x² + y² = 50²

Part B: The directrix of the parabolic path is x = 70

The vertex = (60, 0)

Therefore, -p = 70

[tex]The \ equation \ is \ x = \dfrac{1}{4\cdot p} \cdot (y - k)^2 + h[/tex]

Which gives;

[tex]The \ equation \ is \ x = \dfrac{1}{4\times (-70)} \times (y - 0)^2 + 60 = -\dfrac{y^2}{280} + 60[/tex]

[tex]x = \mathbf{ -\dfrac{y^2}{280} + 60}[/tex]

The equation of the comet's path in standard form is [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: At the point where the path intersect, we have;

[tex]x^2 = \left( -\dfrac{y^2}{280} + 60 \right)^2[/tex]

Therefore;

[tex]\mathbf{\left( -\dfrac{y^2}{280} + 60 \right)^2} = 50^2 - y^2[/tex]

Let y² = a, we get;

[tex]\left( -\dfrac{a}{280} + 60 \right)^2 = 50^2 -a[/tex]

a ≈ -2015.693 and a ≈ -42784.31

y ≈ √(-2015.693) or y ≈ √-42784.31) (imaginary numbers)

The planet's orbit does not intersect the path of the comet.

Learn more here:

https://brainly.com/question/20743199

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Guide}\downarrow\\\large\text{10's = X}\\\large\text{20's = XX}\\\large\text{30's = XXX}\\\large\text{40's = XL}\\\large\text{50's = L}\\\large\text{60's = LX }\\\large\text{70's = LXX}\\\large\text{80's = LXXX}\\\large\text{90's = IX}\\\large\text{100's = C}\\\large\text{200's = }CC \\\large\text{300's = CCC}\\\large\text{400's = CD}\\\large\text{500's = D}\\\large\text{600's = DC}\\\large\text{700's = DCC}\\\large\text{800's = DCCC}\\\large\text{900's = CM}\\\large\text{1,000's = M}[/tex]

[tex]\large\textsf{NOW THAT WE HAVE THAT GUIDE/INFORMATION OUT OF}\\\large\textsf{THE WAY, WE CAN ANSWER YOUR GIVEN QUESTION.}[/tex]

[tex]\huge\text{1,052 = \boxed{\rm{\bold{M}LII}}}\huge\checkmark\\\\\\\\\huge\text{450 = \boxed{\rm{\bold{CD}L}}}\huge\checkmark\\\\\\\huge\text{952 = \boxed{\rm{\bold{CM}LII}}}\huge\checkmark\\\\\\\huge\text{942 = \boxed{\rm{\bold{\bold{CM}}XLII}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Answer:

<QSR = 55°(180°-125°)

Step-by-step explanation:

therefore, p-8=55°

p=(55+8)° = 63°.

hope this helps you.

Answer:

101

Step-by-step explanation: